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The mean height of women in a country​ (ages 20minus​29) is 63.7 inches. A random sample...

The mean height of women in a country​ (ages 20minus​29) is 63.7 inches. A random sample of 70 women in this age group is selected. What is the probability that the mean height for the sample is greater than 64 ​inches? Assume sigma equals 2.61. The probability that the mean height for the sample is greater than 64 inches is ________ ​(Round to four decimal places as​ needed.)

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